Mathemativs V (KAS-304) - AKTU Question Paper 2021-22
B.Tech · Semester 3 · Free PDF Download
This is the official AKTU Mathemativs V Previous Year Question Paper for B.Tech Semester 3, academic session 2021-22. Published by Dr. A.P.J. Abdul Kalam Technical University (AKTU/UPTU), Lucknow. Free PDF download — no login required.
Rate this paper
Questions Asked in 2021-22
Mathemativs V (KAS-304) — complete question paper
- aWrite the formula to find Fourie r sine transform of derivative of f(x)
- bFind Z transform of a constant k
- cIn Poisson distribution if mea n of random variable is 4 then find the variance
- dDefine probability density function
- eWrite the formula used in Newton Raphson method
- fExpress in terms of 1,EE
- gFind the degree of freedom for C hi square test for a contingency table of order 2X3
- hDefine the null hypothesis. i. Mention any two objectives of experimental design. j. Differentiate between CRD and RBD
- bIf 10% of the bolts produced by a machine are defective, det ermine the probability that out of 10 bolts chosen at random (i) 1 (ii) none (iii) at least one bolt will be defective
- cFind the cubic Lagrange’s i nterpolating polynomial which tak es the following values
- dThe following table gives the death records of three hospitals F r o m t h e s e d a t a . D i s c u s s a b o u t t h e d i f f e r e n c e i n t h e n u m b e r o f the deaths per months among three hospitals. Given that the tabulated value of F for 2 and 12 degrees of freedom is 3.88 at 5% level of significance
- eDiscuss the difference between np‐chart and p‐chart. Following is the data of defective of 10 samples of size 100 each. Construct np‐chart and explain your findings. defectives
- bSolve the following difference equation: 21 2nn ny yy n given that 01 0yy
- aA manufacture knows from experience that the resistance of r esistors he produces is normal with mean 100 ohms and standard deviation 2 ohms. Determ ine what percentage of resistors will have resistance between 98 ohms and 102ohms
- bA random variable x has the following probability function: Determine (i) k (ii) mean of the distribution
- aUsing Regula-Falsi method, compute the real root of the equation 3 49 .xx
- bUsing forward difference opera torcalculate the missing terms in the following data
- aA die is thrown some times and the results are observed as: No. appeared on die: 1 2 3 4 5 6 Frequency: 40 32 29 59 57 59 Test whether die is biased or not. Given Chi square of 5% level of significance for 5 degree of freedom is 11.09
- bThe 9 items of a sample have the following values: Apply t test to check the mean of these values differ significa ntly from the assumed mean 47.5. Use at 5% level of significance for 8 degree of freedom is 2.31
- aExplain the following terms: (i) Replication (ii) Randomizati on (iii) Components of variati on in experimental designs
- bThe following data shows the value of sample mean X and range R for 10 samples of size 5 each. Calculate the values for central line and contr ol limits for X and R charts. Also determine whether the process is in under control or not. Mean X 11.2 11.8 10.8 11.6 11 9.6 10.4 9.6 10.6 10
Question text is extracted from the official AKTU question paper PDF above. Hindi translations are omitted — every question is printed in English in the original paper. Last verified: 2026-08-23.
Repeated Questions — KAS-304
Questions that appeared in more than one session, found by comparing 2 years of Mathemativs V papers (2021-22, 2022-23)
Using Regula-Falsi method, compute the real root of the equation 3 49 .xx
Appeared in: 2021-22 · 2022-23
More B.Tech Semester 3 (2021-22) Papers
Other subjects from same semester and session
Syllabus & More PYQs
Paper solve karne se pehle unit-wise syllabus dekh lo